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We develop a new method for calculation of quasi-normal modes of black holes, when the effective potential, which governs black hole perturbations, is known only numerically in some region near the black hole. This method can be applied to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. A. Konoplya , A. Zhidenko

We study slowly rotating black hole solutions in the Einstein-Bel-Robinson gravity (EBR) in four dimensions. At the leading order in the rotation parameter, the only modification with respect to the static case is the appearance of a…

General Relativity and Quantum Cosmology · Physics 2025-05-05 Seyed Naseh Sajadi , Supakchai Ponglertsakul , Robert B. Mann

In recent years there have appeared in the literature a large number of static, spherically symmetric metrics, which are regular at the origin, asymptotically flat, and have both an event and a Cauchy horizon for certain range of the…

General Relativity and Quantum Cosmology · Physics 2017-06-13 J. Ponce de Leon

We obtain approximate analytical solutions of the Einstein equations close to the trapping horizon for a dynamical spherically symmetric black hole in the presence of a minimally coupled self-interacting scalar field. This is made possible…

General Relativity and Quantum Cosmology · Physics 2022-09-15 Marco de Cesare , Roberto Oliveri

We present a review on Lagrangian models admitting spherically symmetric regular black holes, and cosmological bounce solutions. Non-linear electrodynamics, non-polynomial gravity, and fluid approaches are explained in details. They consist…

General Relativity and Quantum Cosmology · Physics 2018-02-28 Aimeric Colléaux , Stefano Chinaglia , Sergio Zerbini

A class of four dimensional spherically symmetric and static geometries with constant topological Euler density is studied. These geometries are shown to solve the coupled Einstein-Maxwell system when non-linear Born-Infeld-like…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Pedro Bargueño , Elias C. Vagenas

The vacuum, static, and spherically symmetric solutions in the mimetic Born-Infeld gravity are studied. The mimetic Born-Infeld gravity is a reformulation of the Eddington-inspired-Born-Infeld (EiBI) model under the mimetic approach. Due to…

General Relativity and Quantum Cosmology · Physics 2018-01-26 Che-Yu Chen , Mariam Bouhmadi-López , Pisin Chen

We provide a new regular black hole solution (RBH) in Einstein Gauss-Bonnet (EGB) gravity with localized sources of matter in the energy--momentum tensor. We determine the necessary constraints in order for the solution to be regular.…

General Relativity and Quantum Cosmology · Physics 2023-08-03 Milko Estrada , Rodrigo Aros

A key obstacle for theory-specific tests of general relativity is the lack of accurate black-hole solutions in beyond-Einstein theories, especially for moderate to high spins. We address this by developing a general framework--based on…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Kelvin Ka-Ho Lam , Adrian Ka-Wai Chung , Nicolás Yunes

We investigate spontaneous vectorization in the Einstein-Born-Infeld-Vector (EBIV) model, where a massless vector field is nonminimally coupled to a nonlinear Born-Infeld (BI) electromagnetic field. This coupling results in an effective…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Guang-Zai Ye , Chong-Ye Chen , Chao Niu , Cheng-Yong Zhang , Peng Liu

In this study, we uncover the accretion dynamics and oscillatory behavior around rotating black holes within the EEH nonlinear electrodynamic framework by analyzing both the motion of test particles and numerically solving the general…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Orhan Donmez , G. Mustafa , Himanshu Chaudhary , M. Yousaf , Abdelmalek Bouzenada , Allah Ditta , Farruh Atamurotov

We numerically construct a family of stationary, axisymmetric black hole solutions in Einstein-Born-Infeld theory, incorporating both electric charge and rotation. Our results indicate that when nonlinear electromagnetic effects are weak,…

General Relativity and Quantum Cosmology · Physics 2025-07-02 Lang Cheng , Peng Wang

We investigate the motion of a massive particle around a spherically symmetric black hole surrounded by a stationary and radial inflow of perfect fluid. The background spacetime is modelled as a spherically symmetric solution to the…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Ariadna Uxue Palomino Ylla , Yasutaka Koga , Chul-Moon Yoo

In order to derive the precise gravitational waveforms for extreme mass ratio inspirals (EMRI), we develop a formulation for the second order metric perturbations produced by a point particle moving in the Schwarzschild spacetime. The…

General Relativity and Quantum Cosmology · Physics 2008-12-25 Carlos O. Lousto , Hiroyuki Nakano

Gravastar models have recently been proposed as an alternative to black holes, mainly to avoid the problematic issues associated with event horizons and singularities. In this work, a wide variety of gravastar models within the context of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Francisco S. N. Lobo , Aaron V. B. Arellano

Super-entropic black holes possess finite-area but noncompact event horizons and violate the reverse isoperimetric inequality. It has been conjectured that such black holes always have negative specific heat at constant volume $C_{V}$ or…

General Relativity and Quantum Cosmology · Physics 2021-05-07 Hongmei Jing , Benrong Mu , Jun Tao , Peng Wang

In recent times there is a surge of interest in constructing Einstein-Gauss-Bonnet (EGB) gravity, in the limit $D \to 4 $, of the $D$-dimensional EGB gravity. Interestingly, the static spherically symmetric solutions in the various proposed…

General Relativity and Quantum Cosmology · Physics 2020-10-20 Sushant G. Ghosh , Rahul Kumar

As one of candidate theories in the construction of regular black holes, Einstein's gravity coupled with nonlinear electrodynamics has been a topic of great concerns. Owing to the coupling between Einstein's gravity and nonlinear…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Yang Guo , Hao Xie , Yan-Gang Miao

We investigate the spherical accretion process for general static spherically symmetric fluids. We analyze this process by using the general metric ansatz for spherically symmetric black holes. We specialize to the case of normal and…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Mustapha Azreg-Aïnou , Ayyesha K. Ahmed , Mubasher Jamil

We investigate a Born--Infeld-type model of nonlinear electrodynamics, possessing three parameters, coupled with general relativity. As a particular case Born--Infeld electrodynamics is reproduced. There is no singularity of the electric…

General Relativity and Quantum Cosmology · Physics 2021-10-22 S. I. Kruglov